Pith Number

pith:2GRXOZTU

pith:2013:2GRXOZTUTDFGXUOKQ34YQD7HVJ

not attested not anchored not stored refs pending

On the Hardy constant of non-convex planar domains: the case of the quadrilateral

Achilles Tertikas, Gerassimos Barbatis

arxiv:1309.0264 v1 · 2013-09-01 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GRXOZTUTDFGXUOKQ34YQD7HVJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:14:27.690349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a377667498ca6bd1ca86f9880fe7aa40c7f51bafbccf26d2dcfd469b45fdff

Aliases

arxiv: 1309.0264 · arxiv_version: 1309.0264v1 · doi: 10.48550/arxiv.1309.0264 · pith_short_12: 2GRXOZTUTDFG · pith_short_16: 2GRXOZTUTDFGXUOK · pith_short_8: 2GRXOZTU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2GRXOZTUTDFGXUOKQ34YQD7HVJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d1a377667498ca6bd1ca86f9880fe7aa40c7f51bafbccf26d2dcfd469b45fdff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "086c1264c8434ff5f61b7f803a0134f43ac4c11b15a12d7f6e06d7ed56f6decf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-01T20:57:51Z",
    "title_canon_sha256": "49f2482ed665d61130ffe4b15e67aeaa1af55ebb416cf17a43a258690faab2b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0264",
    "kind": "arxiv",
    "version": 1
  }
}